55116288 has 120 divisors (see below), whose sum is σ = 165333168. Its totient is φ = 18330624.

The previous prime is 55116287. The next prime is 55116293. The reversal of 55116288 is 88261155.

55116288 is a `hidden beast` number, since 5 + 511 + 62 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55116287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124195 + ... + 124637.

Almost surely, 2^55116288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82666584).

55116288 is an abundant number, since it is smaller than the sum of its proper divisors (110216880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55116288 is an frugal number, since it uses more digits than its factorization.

55116288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 448 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 55116288 is about 7424.0344826785. The cubic root of 55116288 is about 380.5630802718.

The spelling of 55116288 in words is "fifty-five million, one hundred sixteen thousand, two hundred eighty-eight".